Using projective techniques to tap into consumers' feelings, perceptions and attitudes ... getting an honest opinion

An investigation into customer loyalty to food retailers posed a methodological problem namely how to delve beneath the surface and access consumers' unspoken feelings, perceptions, attitudes and values. This paper explains how four different projective techniques were used to access the thoughts and feelings of 160 interviewees in order to obtain a thorough understanding of the interviewees' satisfaction with their 'main' food retailer and to characterize the relationship between the customer and retailer. A brief description of the use, analysis and examples of cartoon friends, word association, personification and mini case studies was provided in order to describe their role in the data collection process.

A splitting result for the algebraic K-theory of projective toric schemes

Suppose X is a projective toric scheme defined over a ring R and equipped with an ample line bundle L . We prove that its K-theory has a direct summand of the form K(R)(k+1) where k = 0 is minimal such that L?(-k-1) is not acyclic. Using a combinatorial description of quasi-coherent sheaves we interpret and prove this result for a ring R which is either commutative, or else left noetherian.

Free and projective Banach lattices

We define and prove the existence of free Banach lattices in the category of Banach lattices and contractive lattice homomorphisms, and establish some of their fundamental properties. We give much more detailed results about their structure in the case when there are only a finite number of generators, and give several Banach lattice characterizations of the number of generators being, respectively, one, finite or countable. We define a Banach lattice P to be projective if, whenever X is a Banach lattice, J is a closed ideal in X, Q : X → X/J is the quotient map, T: P → X/J is a linear lattice homomorphism and ε > 0, there exists a linear lattice homomorphism : P → X such thatT = Q º and ∥∥ ≤ (1 + ε)∥T∥. We establish the connection between projective Banach lattices and free Banach lattices, describe several families of Banach lattices that are projective and prove that some are not.

Assessing the Nonequilibrium Thermodynamics in a Quenched Quantum Many-Body System via Single Projective Measurements

We analyze the nature of the statistics of the work done on or by a quantum many-body system brought out of equilibrium. We show that, for the sudden quench and for an initial state that commutes with the initial Hamiltonian, it is possible to retrieve the whole nonequilibrium thermodynamics via single projective measurements of observables. We highlight, in a physically clear way, the qualitative implications for the statistics of work coming from considering processes described by operators that either commute or do not commute with the unperturbed Hamiltonian of a given system. We consider a quantum many-body system and derive an expression that allows us to give a physical interpretation, for a thermal initial state, to all of the cumulants of the work in the case of quenched operators commuting with the unperturbed Hamiltonian. In the commuting case, the observables that we need to measure have an intuitive physical meaning. Conversely, in the noncommuting case, we show that, although it is possible to operate fully within the single-measurement framework irrespectively of the size of the quench, some difficulties are faced in providing a clear-cut physical interpretation to the cumulants. This circumstance makes the study of the physics of the system nontrivial and highlights the nonintuitive phenomenology of the emergence of thermodynamics from the fully quantum microscopic description. We illustrate our ideas with the example of the Ising model in a transverse field showing the interesting behavior of the high-order statistical moments of the work distribution for a generic thermal state and linking them to the critical nature of the model itself.

Vector bundles on the projective line and finite domination of chain complexes

We present an algebro-geometric approach to a theorem on finite domination of chain complexes over a Laurent polynomial ring. The approach uses extension of chain complexes to sheaves on the projective line, which is governed by a K-theoretical obstruction.

Destructive Groups: The Role of Projective Identification in Suicidal Groups of Young People

Group suicidal behaviour by young people has been attracting increasing worldwide attention, but the subject has rarely been studied from a clinical or psychodynamic perspective. Although etiological factors are not well understood, unconscious as well as conscious group processes likely contribute to self-destructive actions. In this article we discuss the role of projective identification in the development of suicidal behavior by individuals who are part of a destructive group. We consider how these factors may operate, illustrated through a case description of a young man involved with a group of high school students that included at least four who made serious suicide attempts. Recognition and understanding of these forms of communication have important implications for clinical practice and suicide prevention.

Projective Identification and the Fear of Failing: Making Sense of Practice Educators' Experiences of Failing Social Work Students in Practice Learning Settings

The paper focuses on emotions and processes that may arise for practice educators when working with a struggling or failing student in a practice learning setting.1 The paper firstly documents a previously undertaken thematic review of the literature, which explored why practice educators appeared to find it difficult to fail students in practice learning settings. Secondly, the paper draws on two UK qualitative studies that highlighted the emotional distress experienced by practice educators when working with a marginal or failing student. The paper documents key findings using a case study approach from both studies. We argue that the concept of projective identification offers a plausible and illuminating account of the states of mind experienced by practice educators and in making explicit, unconscious states of mind, our aim is that practice educators will feel confident to make appropriate assessment decisions when required.

Memorial with the resolutions adopted at the anti-tariff meeting held at Abbeville Court-House, South Carolina, on Monday, the 3d of September, 1827

This document contains the resolutions adopted at the anti-tariff meeting held at the Abbeville courthouse following taxes imposed by the federal government, which members of the state believed to be unconstitutional.

Resolutions reported by the Military Committee, expressive of the thanks of Congress to Major General Jackson, and the troops under his command, for their gallantry and good conduct, in the defence of New Orleans.--

February 13, 1815. Printed by order of the Senate of the United States.

Resolutions reported by the Military Committee, expressive of the thanks of Congress to Major General Jackson, and the troops under his command, for their gallantry and good conduct, in the defence of New Orleans

February 13, 1815. Printed by order of the Senate of the United States. Printed by Roger C. Weightman

Second International American Conference México: 1901-1902: Organization of the Conference, Projects, Reports, Motions, Debates and Resolutions

UANL

Studies on function projective synchronization in chaotic and hyperchaotic systems

FPS is a more general form of synchronization. Hyperchaotic systems possessing more than one positive Lypaunov exponent exhibit highly complex behaviour and are more suitable for some applications like secure communications. In this thesis we report studies of FPS and MFPS of a few chaotic and hyperchaotic systems. When all the parameters of the system are known we show that active nonlinear control method can be efectively used to obtain FPS. Adaptive nonlinear control and OPCL control method are employed for obtaining FPS and MFPS when some or all parameters of the system are uncertain. A secure communication scheme based on MFPS is also proposed in theory. All our theoretical calculations are verified by numerical simulations.

Geometric and Algebraic Aspects of 3D Affine and Projective Structures from Perspective 2D Views

We investigate the differences --- conceptually and algorithmically --- between affine and projective frameworks for the tasks of visual recognition and reconstruction from perspective views. It is shown that an affine invariant exists between any view and a fixed view chosen as a reference view. This implies that for tasks for which a reference view can be chosen, such as in alignment schemes for visual recognition, projective invariants are not really necessary. We then use the affine invariant to derive new algebraic connections between perspective views. It is shown that three perspective views of an object are connected by certain algebraic functions of image coordinates alone (no structure or camera geometry needs to be involved).